Advanced Logic for Applications

Nonfiction, Religion & Spirituality, Philosophy, Logic
Cover of the book Advanced Logic for Applications by R.E. Grandy, Springer Netherlands
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: R.E. Grandy ISBN: 9789401011914
Publisher: Springer Netherlands Publication: December 6, 2012
Imprint: Springer Language: English
Author: R.E. Grandy
ISBN: 9789401011914
Publisher: Springer Netherlands
Publication: December 6, 2012
Imprint: Springer
Language: English

This book is intended to be a survey of the most important results in mathematical logic for philosophers. It is a survey of results which have philosophical significance and it is intended to be accessible to philosophers. I have assumed the mathematical sophistication acquired· in an introductory logic course or in reading a basic logic text. In addition to proving the most philosophically significant results in mathematical logic, I have attempted to illustrate various methods of proof. For example, the completeness of quantification theory is proved both constructively and non-constructively and relative ad­ vantages of each type of proof are discussed. Similarly, constructive and non-constructive versions of Godel's first incompleteness theorem are given. I hope that the reader· will develop facility with the methods of proof and also be caused by reflect on their differences. I assume familiarity with quantification theory both in under­ standing the notations and in finding object language proofs. Strictly speaking the presentation is self-contained, but it would be very difficult for someone without background in the subject to follow the material from the beginning. This is necessary if the notes are to be accessible to readers who have had diverse backgrounds at a more elementary level. However, to make them accessible to readers with no background would require writing yet another introductory logic text. Numerous exercises have been included and many of these are integral parts of the proofs.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book is intended to be a survey of the most important results in mathematical logic for philosophers. It is a survey of results which have philosophical significance and it is intended to be accessible to philosophers. I have assumed the mathematical sophistication acquired· in an introductory logic course or in reading a basic logic text. In addition to proving the most philosophically significant results in mathematical logic, I have attempted to illustrate various methods of proof. For example, the completeness of quantification theory is proved both constructively and non-constructively and relative ad­ vantages of each type of proof are discussed. Similarly, constructive and non-constructive versions of Godel's first incompleteness theorem are given. I hope that the reader· will develop facility with the methods of proof and also be caused by reflect on their differences. I assume familiarity with quantification theory both in under­ standing the notations and in finding object language proofs. Strictly speaking the presentation is self-contained, but it would be very difficult for someone without background in the subject to follow the material from the beginning. This is necessary if the notes are to be accessible to readers who have had diverse backgrounds at a more elementary level. However, to make them accessible to readers with no background would require writing yet another introductory logic text. Numerous exercises have been included and many of these are integral parts of the proofs.

More books from Springer Netherlands

Cover of the book Advances in Human Clinical Nutrition by R.E. Grandy
Cover of the book Krister Segerberg on Logic of Actions by R.E. Grandy
Cover of the book Arctic Climate Change by R.E. Grandy
Cover of the book Advances in Abdominal Surgery by R.E. Grandy
Cover of the book Primary and Secondary Precepts in Thomistic Natural Law Teaching by R.E. Grandy
Cover of the book Eugène Dubois and the Ape-Man from Java by R.E. Grandy
Cover of the book The Phonemes of English by R.E. Grandy
Cover of the book On the Sociology of International Law and International Society by R.E. Grandy
Cover of the book Dialogues on Human Rights and Legal Pluralism by R.E. Grandy
Cover of the book Liver Diseases in Infancy and Childhood by R.E. Grandy
Cover of the book Cultural Heritage and Aerobiology by R.E. Grandy
Cover of the book Electronic Transitions and the High Pressure Chemistry and Physics of Solids by R.E. Grandy
Cover of the book Geological Structures and Moving Plates by R.E. Grandy
Cover of the book Plant Metabolomics by R.E. Grandy
Cover of the book Professor Hein J.J. Wellens: 33 Years of Cardiology and Arrhythmology by R.E. Grandy
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy